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Statistical Insights: Analyzing Shock Models, Reliability Operations and Testing Exponentiality for NBRUmgf Class of Life Distributions

Bakr M. E., El-Atfy E. S., Balogun Oluwafemi Samson, Tashkandy Yusra A., Gadallah A. M.

Eksploatacja i Niezawodność

2024

Vol. 26, no. 2

art. no. 184185

This study focuses on an innovative life distribution category known as the 'New Better than Renewal used in Moment Generating Function' (NBRUmgf) class. It explores the relationships between this particular aging model and established aging categories, and its applicability within a shock model. Moreover, it investigates the consistency of this aging concept through specific reliability operations, which are pivotal tools in reliability engineering. The research involves computing Pitman's asymptotic efficiencies for this testing method and compares them with alternative approaches. Additionally, the study presents an extensive table of percentiles for the test statistic associated with this proposed technique. To underscore the significance of the study's findings, various real-world datasets are employed, demonstrating the efficacy of our test methodology across diverse types of actual data.